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From spatially periodic instantons to singular monopoles

Benoit Charbonneau
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Abstract

The main result is a computation of the Nahm transform of a SU(2)-instanton over RxT^3, called spatially-periodic instanton. It is a singular monopole over T^3, a solution to the Bogomolny equation, whose rank is computed and behavior at the singular points is described.

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Benoit Charbonneau. 2006-03-16. From spatially periodic instantons to singular monopoles. https://arxiv.org/abs/math/0410561

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